Pranav, Karan and Rahim are partners sharing profits

5 :- Pranav, Karan and Rahim are partners sharing profits and losses in an agreed ratio. With effect from 1st April 2025, they agreed to share profit in the ratio of 3 : 3 : 4. To arrive at the new ratio, Rahim takes 1/5th share equally from Pranav and Karan. Calculate the old profit-sharing ratio.

Solution:- New profit sharing ratio of Pranav, Karan and Rahim is 3:3:4
Rahim receives 1/5 equally from Pranav and Karan
Rahim receives from Pranav = 1/5 x 1/2 = 1/10
Rahim receives from Karan = 1/5 x 1/2 = 1/10

Paranav’s old profit share = 3/10 + 1/10 = 4/10
Karan’s old profit share = 3/10 + 1/10 = 4/10
Rahim’s old profit share = 4/10 – 1/5 = 2/10
Thus, their old profit sharing ratio is 4:4:2 = 2:2:1